{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A simple Python zero-coupon bond calculator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "def zero_coupon_bond(par, y, t):\n",
    "    \"\"\"\n",
    "    Price a zero coupon bond.\n",
    "    \n",
    "    :param par: face value of the bond.\n",
    "    :param y: annual yield or rate of the bond.\n",
    "    :param t: time to maturity, in years.\n",
    "    \"\"\"\n",
    "    return par/(1+y)**t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "78.35261664684589\n"
     ]
    }
   ],
   "source": [
    "print(zero_coupon_bond(100, 0.05, 5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bootstrapping a yield curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "\n",
    "class BootstrapYieldCurve(object):    \n",
    "    \n",
    "    def __init__(self):\n",
    "        self.zero_rates = dict()\n",
    "        self.instruments = dict()\n",
    "        \n",
    "    def add_instrument(self, par, T, coup, price, compounding_freq=2):\n",
    "        self.instruments[T] = (par, coup, price, compounding_freq)\n",
    "    \n",
    "    def get_maturities(self):\n",
    "        \"\"\" \n",
    "        :return: a list of maturities of added instruments \n",
    "        \"\"\"\n",
    "        return sorted(self.instruments.keys())\n",
    "    \n",
    "    def get_zero_rates(self):\n",
    "        \"\"\" \n",
    "        Returns a list of spot rates on the yield curve.\n",
    "        \"\"\"\n",
    "        self.bootstrap_zero_coupons()    \n",
    "        self.get_bond_spot_rates()\n",
    "        return [self.zero_rates[T] for T in self.get_maturities()]    \n",
    "        \n",
    "    def bootstrap_zero_coupons(self):\n",
    "        \"\"\" \n",
    "        Bootstrap the yield curve with zero coupon instruments first.\n",
    "        \"\"\"\n",
    "        for (T, instrument) in self.instruments.items():\n",
    "            (par, coup, price, freq) = instrument\n",
    "            if coup == 0:\n",
    "                spot_rate = self.zero_coupon_spot_rate(par, price, T)\n",
    "                self.zero_rates[T] = spot_rate        \n",
    "                \n",
    "    def zero_coupon_spot_rate(self, par, price, T):\n",
    "        \"\"\" \n",
    "        :return: the zero coupon spot rate with continuous compounding.\n",
    "        \"\"\"\n",
    "        spot_rate = math.log(par/price)/T\n",
    "        return spot_rate\n",
    "                    \n",
    "    def get_bond_spot_rates(self):\n",
    "        \"\"\" \n",
    "        Get spot rates implied by bonds, using short-term instruments.\n",
    "        \"\"\"\n",
    "        for T in self.get_maturities():\n",
    "            instrument = self.instruments[T]\n",
    "            (par, coup, price, freq) = instrument\n",
    "            if coup != 0:\n",
    "                spot_rate = self.calculate_bond_spot_rate(T, instrument)\n",
    "                self.zero_rates[T] = spot_rate\n",
    "                \n",
    "    def calculate_bond_spot_rate(self, T, instrument):\n",
    "        try:\n",
    "            (par, coup, price, freq) = instrument\n",
    "            periods = T*freq\n",
    "            value = price\n",
    "            per_coupon = coup/freq\n",
    "            for i in range(int(periods)-1):\n",
    "                t = (i+1)/float(freq)\n",
    "                spot_rate = self.zero_rates[t]\n",
    "                discounted_coupon = per_coupon*math.exp(-spot_rate*t)\n",
    "                value -= discounted_coupon\n",
    "\n",
    "            last_period = int(periods)/float(freq)        \n",
    "            spot_rate = -math.log(value/(par+per_coupon))/last_period\n",
    "            return spot_rate\n",
    "        except:\n",
    "            print(\"Error: spot rate not found for T=\", t)\n",
    "            \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "yield_curve = BootstrapYieldCurve()\n",
    "yield_curve.add_instrument(100, 0.25, 0., 97.5)\n",
    "yield_curve.add_instrument(100, 0.5, 0., 94.9)\n",
    "yield_curve.add_instrument(100, 1.0, 0., 90.)\n",
    "yield_curve.add_instrument(100, 1.5, 8, 96., 2)\n",
    "yield_curve.add_instrument(100, 2., 12, 101.6, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = yield_curve.get_zero_rates()\n",
    "x = yield_curve.get_maturities()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%pylab inline\n",
    "\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "plot(x, y)\n",
    "title(\"Zero Curve\") \n",
    "ylabel(\"Zero Rate (%)\")\n",
    "xlabel(\"Maturity in Years\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forward rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ForwardRates(object):\n",
    "    \n",
    "    def __init__(self):\n",
    "        self.forward_rates = []\n",
    "        self.spot_rates = dict()\n",
    "        \n",
    "    def add_spot_rate(self, T, spot_rate):\n",
    "        self.spot_rates[T] = spot_rate\n",
    "        \n",
    "    def get_forward_rates(self):\n",
    "        \"\"\"\n",
    "        Returns a list of forward rates\n",
    "        starting from the second time period.\n",
    "        \"\"\"\n",
    "        periods = sorted(self.spot_rates.keys())\n",
    "        for T2, T1 in zip(periods, periods[1:]):\n",
    "            forward_rate = self.calculate_forward_rate(T1, T2)\n",
    "            self.forward_rates.append(forward_rate)\n",
    "\n",
    "        return self.forward_rates\n",
    "    \n",
    "    def calculate_forward_rate(self, T1, T2):\n",
    "        R1 = self.spot_rates[T1]\n",
    "        R2 = self.spot_rates[T2]\n",
    "        forward_rate = (R2*T2-R1*T1)/(T2-T1)\n",
    "        return forward_rate        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "fr = ForwardRates()\n",
    "fr.add_spot_rate(0.25, 10.127)\n",
    "fr.add_spot_rate(0.50, 10.469)\n",
    "fr.add_spot_rate(1.00, 10.536)\n",
    "fr.add_spot_rate(1.50, 10.681)\n",
    "fr.add_spot_rate(2.00, 10.808)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10.810999999999998, 10.603, 10.971, 11.189]\n"
     ]
    }
   ],
   "source": [
    "print(fr.get_forward_rates())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculating the yield to maturity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.optimize as optimize\n",
    "\n",
    "def bond_ytm(price, par, T, coup, freq=2, guess=0.05):\n",
    "    freq = float(freq)\n",
    "    periods = T*2\n",
    "    coupon = coup/100.*par\n",
    "    dt = [(i+1)/freq for i in range(int(periods))]\n",
    "    ytm_func = lambda y: \\\n",
    "        sum([coupon/freq/(1+y/freq)**(freq*t) for t in dt]) +\\\n",
    "        par/(1+y/freq)**(freq*T) - price\n",
    "    \n",
    "    return optimize.newton(ytm_func, guess)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "ytm = bond_ytm(95.0428, 100, 1.5, 5.75, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.09369155345239522\n"
     ]
    }
   ],
   "source": [
    "print(ytm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculating the price of a bond"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def bond_price(par, T, ytm, coup, freq=2):\n",
    "    freq = float(freq)\n",
    "    periods = T*2\n",
    "    coupon = coup/100.*par\n",
    "    dt = [(i+1)/freq for i in range(int(periods))]\n",
    "    price = sum([coupon/freq/(1+ytm/freq)**(freq*t) for t in dt]) + \\\n",
    "        par/(1+ytm/freq)**(freq*T)\n",
    "    return price"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "95.04279999999997\n"
     ]
    }
   ],
   "source": [
    "price = bond_price(100, 1.5, ytm, 5.75, 2)\n",
    "print(price)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bond duration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def bond_mod_duration(price, par, T, coup, freq, dy=0.01):\n",
    "    ytm = bond_ytm(price, par, T, coup, freq)\n",
    "    \n",
    "    ytm_minus = ytm - dy    \n",
    "    price_minus = bond_price(par, T, ytm_minus, coup, freq)\n",
    "    \n",
    "    ytm_plus = ytm + dy\n",
    "    price_plus = bond_price(par, T, ytm_plus, coup, freq)\n",
    "    \n",
    "    mduration = (price_minus-price_plus)/(2*price*dy)\n",
    "    return mduration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.3921935426561034\n"
     ]
    }
   ],
   "source": [
    "mod_duration = bond_mod_duration(95.0428, 100, 1.5, 5.75, 2)\n",
    "print(mod_duration)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bond convexity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def bond_convexity(price, par, T, coup, freq, dy=0.01):\n",
    "    ytm = bond_ytm(price, par, T, coup, freq)\n",
    "\n",
    "    ytm_minus = ytm - dy    \n",
    "    price_minus = bond_price(par, T, ytm_minus, coup, freq)\n",
    "    \n",
    "    ytm_plus = ytm + dy\n",
    "    price_plus = bond_price(par, T, ytm_plus, coup, freq)\n",
    "    \n",
    "    convexity = (price_minus + price_plus - 2*price)/(price*dy**2)\n",
    "    return convexity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Short-rate modeling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Vasicek model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "\n",
    "def vasicek(r0, K, theta, sigma, T=1., N=10, seed=777):    \n",
    "    np.random.seed(seed)\n",
    "    dt = T/float(N)    \n",
    "    rates = [r0]\n",
    "    for i in range(N):\n",
    "        dr = K*(theta-rates[-1])*dt + \\\n",
    "            sigma*math.sqrt(dt)*np.random.normal()\n",
    "        rates.append(rates[-1]+dr)\n",
    "        \n",
    "    return range(N+1), rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%pylab inline\n",
    "\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "\n",
    "for K in [0.002, 0.02, 0.2]:\n",
    "    x, y = vasicek(0.005, K, 0.15, 0.05, T=10, N=200)\n",
    "    plot(x,y, label='K=%s'%K)\n",
    "    pylab.legend(loc='upper left');\n",
    "    \n",
    "pylab.legend(loc='upper left')\n",
    "pylab.xlabel('Vasicek model');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Cox-Ingersoll-Ross model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "\n",
    "def CIR(r0, K, theta, sigma, T=1.,N=10,seed=777):        \n",
    "    np.random.seed(seed)\n",
    "    dt = T/float(N)    \n",
    "    rates = [r0]\n",
    "    for i in range(N):\n",
    "        dr = K*(theta-rates[-1])*dt + \\\n",
    "            sigma*math.sqrt(rates[-1])*\\\n",
    "            math.sqrt(dt)*np.random.normal()\n",
    "        rates.append(rates[-1] + dr)\n",
    "        \n",
    "    return range(N+1), rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%pylab inline\n",
    "\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "\n",
    "for K in [0.002, 0.02, 0.2]:\n",
    "    x, y = CIR(0.005, K, 0.15, 0.05, T=10, N=200)\n",
    "    plot(x,y, label='K=%s'%K)\n",
    "    \n",
    "pylab.legend(loc='upper left')\n",
    "pylab.xlabel('CRR model');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Rendleman and Bartter model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "\n",
    "def rendleman_bartter(r0, theta, sigma, T=1.,N=10,seed=777):        \n",
    "    np.random.seed(seed)\n",
    "    dt = T/float(N)    \n",
    "    rates = [r0]\n",
    "    for i in range(N):\n",
    "        dr = theta*rates[-1]*dt + \\\n",
    "            sigma*rates[-1]*math.sqrt(dt)*np.random.normal()\n",
    "        rates.append(rates[-1] + dr)\n",
    "        \n",
    "    return range(N+1), rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%pylab inline\n",
    "\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "\n",
    "for theta in [0.01, 0.05, 0.1]:\n",
    "    x, y = rendleman_bartter(0.005, theta, 0.05, T=10, N=200)\n",
    "    plot(x,y, label='theta=%s'%theta)\n",
    "\n",
    "pylab.legend(loc='upper left')\n",
    "pylab.xlabel('Rendleman and Bartter model');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Brennan and Schwartz model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "\n",
    "def brennan_schwartz(r0, K, theta, sigma, T=1., N=10, seed=777):    \n",
    "    np.random.seed(seed)\n",
    "    dt = T/float(N)    \n",
    "    rates = [r0]\n",
    "    for i in range(N):\n",
    "        dr = K*(theta-rates[-1])*dt + \\\n",
    "            sigma*rates[-1]*math.sqrt(dt)*np.random.normal()\n",
    "        rates.append(rates[-1] + dr)\n",
    "\n",
    "    return range(N+1), rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%pylab inline\n",
    "\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "\n",
    "for K in [0.2, 0.02, 0.002]:\n",
    "    x, y = brennan_schwartz(0.005, K, 0.006, 0.05, T=10, N=200)\n",
    "    plot(x,y, label='K=%s'%K)\n",
    "\n",
    "pylab.legend(loc='upper left')\n",
    "pylab.xlabel('Brennan and Schwartz model');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Pricing a callable bond option"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pricing a zero-coupon bond by the Vasicek model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "\n",
    "def exact_zcb(theta, kappa, sigma, tau, r0=0.):\n",
    "    B = (1 - np.exp(-kappa*tau)) / kappa\n",
    "    A = np.exp((theta-(sigma**2)/(2*(kappa**2)))*(B-tau) - \\\n",
    "               (sigma**2)/(4*kappa)*(B**2))\n",
    "    return A * np.exp(-r0*B)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "Ts = np.r_[0.0:25.5:0.5]\n",
    "zcbs = [exact_zcb(0.5, 0.02, 0.03, t, 0.015) for t in Ts]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%pylab inline\n",
    "\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "plt.title(\"Zero Coupon Bond (ZCB) Values by Time\")\n",
    "plt.plot(Ts, zcbs, label='ZCB')\n",
    "plt.ylabel(\"Value ($)\")\n",
    "plt.xlabel(\"Time in years\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Value of early-exercise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "\n",
    "def exercise_value(K, R, t):\n",
    "    return K*math.exp(-R*t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "Ts = np.r_[0.0:25.5:0.5]\n",
    "Ks = [exercise_value(0.95, 0.015, t) for t in Ts]\n",
    "zcbs = [exact_zcb(0.5, 0.02, 0.03, t, 0.015) for t in Ts]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "plt.title(\"Zero Coupon Bond (ZCB) and Strike (K) Values by Time\")\n",
    "plt.plot(Ts, zcbs, label='ZCB')\n",
    "plt.plot(Ts, Ks, label='K', linestyle=\"--\", marker=\".\")\n",
    "plt.ylabel(\"Value ($)\")\n",
    "plt.xlabel(\"Time in years\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Policy iteration by finite differences"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "import scipy.stats as st\n",
    "\n",
    "\n",
    "class VasicekCZCB:\n",
    "    \n",
    "    def __init__(self):\n",
    "        self.norminv = st.distributions.norm.ppf\n",
    "        self.norm = st.distributions.norm.cdf        \n",
    "\n",
    "    def vasicek_czcb_values(self, r0, R, ratio, T, sigma, kappa, theta,\n",
    "                            M, prob=1e-6, max_policy_iter=10, \n",
    "                            grid_struct_const=0.25, rs=None):\n",
    "        (r_min, dr, N, dtau) = \\\n",
    "            self.vasicek_params(r0, M, sigma, kappa, theta,\n",
    "                                T, prob, grid_struct_const, rs)\n",
    "        r = np.r_[0:N]*dr + r_min\n",
    "        v_mplus1 = np.ones(N)\n",
    "\n",
    "        for i in range(1, M+1):\n",
    "            K = self.exercise_call_price(R, ratio, i*dtau)\n",
    "            eex = np.ones(N)*K\n",
    "            (subdiagonal, diagonal, superdiagonal) = \\\n",
    "                self.vasicek_diagonals(\n",
    "                    sigma, kappa, theta, r_min, dr, N, dtau)\n",
    "            (v_mplus1, iterations) = \\\n",
    "                self.iterate(subdiagonal, diagonal, superdiagonal,\n",
    "                             v_mplus1, eex, max_policy_iter)\n",
    "        return r, v_mplus1\n",
    "\n",
    "    def vasicek_params(self, r0, M, sigma, kappa, theta, T,\n",
    "                      prob, grid_struct_const=0.25, rs=None):\n",
    "        if rs is not None:\n",
    "            (r_min, r_max) = (rs[0], rs[-1])\n",
    "        else:\n",
    "            (r_min, r_max) = self.vasicek_limits(\n",
    "                r0, sigma, kappa, theta, T, prob)        \n",
    "\n",
    "        dt = T/float(M)\n",
    "        N = self.calculate_N(grid_struct_const, dt, sigma, r_max, r_min)\n",
    "        dr = (r_max-r_min)/(N-1)\n",
    "\n",
    "        return (r_min, dr, N, dt)\n",
    "    \n",
    "    def calculate_N(self, max_structure_const, dt, sigma, r_max, r_min):\n",
    "        N = 0\n",
    "        while True:\n",
    "            N += 1\n",
    "            grid_structure_interval = \\\n",
    "                dt*(sigma**2)/(((r_max-r_min)/float(N))**2)\n",
    "            if grid_structure_interval > max_structure_const:\n",
    "                break\n",
    "        return N\n",
    "    \n",
    "    def vasicek_limits(self, r0, sigma, kappa, theta, T, prob=1e-6):\n",
    "        er = theta+(r0-theta)*math.exp(-kappa*T)\n",
    "        variance = (sigma**2)*T if kappa==0 else \\\n",
    "                    (sigma**2)/(2*kappa)*(1-math.exp(-2*kappa*T))\n",
    "        stdev = math.sqrt(variance)\n",
    "        r_min = self.norminv(prob, er, stdev)\n",
    "        r_max = self.norminv(1-prob, er, stdev)\n",
    "        return (r_min, r_max)\n",
    "\n",
    "    def vasicek_diagonals(self, sigma, kappa, theta, r_min,\n",
    "                          dr, N, dtau):\n",
    "        rn = np.r_[0:N]*dr + r_min\n",
    "        subdiagonals = kappa*(theta-rn)*dtau/(2*dr) - \\\n",
    "                        0.5*(sigma**2)*dtau/(dr**2)\n",
    "        diagonals = 1 + rn*dtau + sigma**2*dtau/(dr**2)\n",
    "        superdiagonals = -kappa*(theta-rn)*dtau/(2*dr) - \\\n",
    "                        0.5*(sigma**2)*dtau/(dr**2)\n",
    "\n",
    "        # Implement boundary conditions.\n",
    "        if N > 0:\n",
    "            v_subd0 = subdiagonals[0]\n",
    "            superdiagonals[0] = superdiagonals[0]-subdiagonals[0]\n",
    "            diagonals[0] += 2*v_subd0\n",
    "            subdiagonals[0] = 0\n",
    "\n",
    "        if N > 1:\n",
    "            v_superd_last = superdiagonals[-1]\n",
    "            superdiagonals[-1] = superdiagonals[-1] - subdiagonals[-1]\n",
    "            diagonals[-1] += 2*v_superd_last\n",
    "            superdiagonals[-1] = 0\n",
    "\n",
    "        return (subdiagonals, diagonals, superdiagonals)\n",
    "    \n",
    "    def check_exercise(self, V, eex):\n",
    "        return V > eex\n",
    "\n",
    "    def exercise_call_price(self, R, ratio, tau):\n",
    "        K = ratio*np.exp(-R*tau)\n",
    "        return K\n",
    "\n",
    "    def vasicek_policy_diagonals(self, subdiagonal, diagonal, \\\n",
    "                                 superdiagonal, v_old, v_new, eex):\n",
    "        has_early_exercise = self.check_exercise(v_new, eex)\n",
    "        subdiagonal[has_early_exercise] = 0\n",
    "        superdiagonal[has_early_exercise] = 0\n",
    "        policy = v_old/eex\n",
    "        policy_values = policy[has_early_exercise]\n",
    "        diagonal[has_early_exercise] = policy_values\n",
    "        return (subdiagonal, diagonal, superdiagonal)\n",
    "\n",
    "    def iterate(self, subdiagonal, diagonal, superdiagonal,\n",
    "                v_old, eex, max_policy_iter=10):\n",
    "        v_mplus1 = v_old\n",
    "        v_m = v_old\n",
    "        change = np.zeros(len(v_old))\n",
    "        prev_changes = np.zeros(len(v_old))\n",
    "\n",
    "        iterations = 0\n",
    "        while iterations <= max_policy_iter:\n",
    "            iterations += 1\n",
    "\n",
    "            v_mplus1 = self.tridiagonal_solve(\n",
    "                    subdiagonal, diagonal, superdiagonal, v_old)\n",
    "            subdiagonal, diagonal, superdiagonal = \\\n",
    "                self.vasicek_policy_diagonals(\n",
    "                    subdiagonal, diagonal, superdiagonal, \n",
    "                    v_old, v_mplus1, eex)\n",
    "\n",
    "            is_eex = self.check_exercise(v_mplus1, eex)\n",
    "            change[is_eex] = 1\n",
    "\n",
    "            if iterations > 1:\n",
    "                change[v_mplus1 != v_m] = 1\n",
    "\n",
    "            is_no_more_eex = False if True in is_eex else True\n",
    "            if is_no_more_eex:\n",
    "                break\n",
    "\n",
    "            v_mplus1[is_eex] = eex[is_eex]\n",
    "            changes = (change == prev_changes)\n",
    "\n",
    "            is_no_further_changes = all((x == 1) for x in changes)\n",
    "            if is_no_further_changes:\n",
    "                break\n",
    "\n",
    "            prev_changes = change\n",
    "            v_m = v_mplus1\n",
    "\n",
    "        return v_mplus1, iterations-1\n",
    "\n",
    "    def tridiagonal_solve(self, a, b, c, d):\n",
    "        nf = len(a)  # Number of equations\n",
    "        ac, bc, cc, dc = map(np.array, (a, b, c, d))  # Copy the array\n",
    "        for it in range(1, nf):\n",
    "            mc = ac[it]/bc[it-1]\n",
    "            bc[it] = bc[it] - mc*cc[it-1] \n",
    "            dc[it] = dc[it] - mc*dc[it-1]\n",
    "\n",
    "        xc = ac\n",
    "        xc[-1] = dc[-1]/bc[-1]\n",
    "\n",
    "        for il in range(nf-2, -1, -1):\n",
    "            xc[il] = (dc[il]-cc[il]*xc[il+1])/bc[il]\n",
    "\n",
    "        del bc, cc, dc  # Delete variables from memory\n",
    "\n",
    "        return xc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "r0 = 0.05\n",
    "R = 0.05\n",
    "ratio = 0.95\n",
    "sigma = 0.03\n",
    "kappa = 0.15\n",
    "theta = 0.05\n",
    "prob = 1e-6\n",
    "M = 250\n",
    "max_policy_iter=10\n",
    "grid_struct_interval = 0.25\n",
    "rs = np.r_[0.0:2.0:0.1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "vasicek = VasicekCZCB()\n",
    "r, vals = vasicek.vasicek_czcb_values(\n",
    "    r0, R, ratio, 1., sigma, kappa, theta, \n",
    "    M, prob, max_policy_iter, grid_struct_interval, rs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%pylab inline\n",
    "\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "plt.title(\"Callable Zero Coupon Bond Values by r\")\n",
    "plt.plot(r, vals, label='1 yr')\n",
    "\n",
    "for T in [5., 7., 10., 20.]:\n",
    "    r, vals = vasicek.vasicek_czcb_values(\n",
    "        r0, R, ratio, T, sigma, kappa, theta, \n",
    "        M, prob, max_policy_iter, grid_struct_interval, rs)\n",
    "    plt.plot(r, vals, label=str(T)+' yr', linestyle=\"--\", marker=\".\")\n",
    "\n",
    "plt.ylabel(\"Value ($)\")\n",
    "plt.xlabel(\"r\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
